logarithmic question on how to enter it into my calculator, its college algebra?

Question

divided by
log (1.16) / 4 log (1.0125) = t

t=3
but i dont know how to get to 3 i get confused at the 4 log (1.0125)
can you show me step by step please

thanks thermo!

Answer 1

Type 1.16 log / 4 / 1.0125 log =
This is 3 approximately (2.9869...)

Th.

Answer 2

because you've a "10" contained in the equation, i encounter it a lot less complicated to apply difficulty-loose log particularly of organic log. in any case: 2^x = 10 log (2^x) = log(10) x log(2) = a million x = a million/log(2) x = 3.3219 in case you want to apply ln, in basic terms replace a million by technique of ln(10) x = ln(10)/ln(2) component is, with difficulty-loose log, you comprehend that log(10) = a million, and log(2) = some volume between 0 and a million, and considering that 2 is in route of one million than it really is to ten, log(2) is about 0.2 or 0.3, and your answer will be between 3 and four

Answer 3

Using the computers calculator

click in 1.16, then click log, then click divide, then click 1.0125, then click log, then click =, then click *, then click .25

this will give you 2.986914... = about 3

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Another way

(1/4)(log(1.16) / log(1.0125))
(log(1.16^(1/4)))/(log(1.0125))